Refer to the vectors m through t at the right Name all groups of vectors that appear to be equal Choose the correct answer below OA, mand p, n and r OB, m,o' p and qin, r, and s O C. n and r, m, p, and t O D. m and p: p and q; m and q n and r; n and s; s and r Click to select your answer Save for Later /171717-17171717-1/1/1/1/17:ハハハハハハハハハハハハハハー 米 19 8 5 6

The value of x from the given equation is -2

Equations are expressions separated by an equal sign.

Given the expression

x/2 - (5x-3)/12 = 1/3 x - 0.75

Find the LCM

6x-(5x-3)/12 = 1/3 x - 0.75

(x+3)/12 = 1/3 x - 0.75

(x+3)/12 - x/3 = -0.75

(x+3-4x)/12 = 0.75

-3x +3 = 9

Subtract 3 from both sides

-3x = 9 - 3

-3x = 6

x = -2

Hence the value of x from the given equation is -2

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Answer:

.04 miles

Step-by-step explanation:

1 meter = 0.0006213712 miles

59 meters x 0.0006213712 miles = 0.0366609008 miles

Round to nearest hundredth: .04 miles

Point X represents the best approximation for 2/6 on the given number line.

Diagram of number line is attached.

As given in the question,

Given number line represents:

From the attached diagram of number line we have:

Point W represents 0

Point Z represent 1

On the number line , 0 to 1 is divided into three parts.

Point X represent 1 part out of 3 = 1/3

Point Y represents the 2 part out of 3 = 2/3

Given number is ( 2 / 6 ) equivalent to 1 / 3.

Best approximation of the ( 2/6 ) is given by Point X .

Therefore, on the given number line best approximation of ( 2/ 6) is given by point X.

The complete question is:

Which point on the number line is the best approximation for 2/6:

A. Point W        B. Point X         C. Point Y            D. Point Z

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A different term for a quadratic function's zeros is "roots." The zeros or roots of a quadratic function are the points on the x-axis where the function meets or crosses it.

They stand in for the x values at which the quadratic function equals zero. Depending on the discriminant of the quadratic equation, the zeros or roots of a quadratic function can either be real or complex integers. The quadratic has two unique real roots if the discriminant is positive. The quadratic has a single real root, also referred to as a double root or repeating root, if the discriminant is zero. The quadratic has two complex roots that can be represented as a + bi if the discriminant is negative.

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Answer:

DESCRIPTION: Large for a modern amphibian, the male California tiger salamander can reach up to 8.5 inches in length, the female up to seven. Adults have protruding eyes and long tails, and their slick bodies are mostly black with brilliant yellow spots and stripes on their back, sides, and tail. Larvae are greenish gray in color.

HABITAT: California tiger salamanders can be found in annual grasslands and oak woodlands with hot, dry summers and cool, rainy winters. For most of the year, they reside in underground burrows created and abandoned by small mammals. They need ephemeral pools for breeding.

RANGE: Historically these salamanders ranged throughout California's Sacramento and San Joaquin River valleys, the surrounding foothills, and the lower elevations of the state's central coast. Now their distribution is limited to disjunct vernal pool complexes in the northern part of their historical range. The northernmost and southernmost populations, residing in Sonoma and Santa Barbara counties respectively, are genetically distinct and geographically isolated from others.

MIGRATION: Once fall and winter rains begin, adult tiger salamanders emerge from underground hibernation habitat in mammal burrows and migrate to breeding ponds. After breeding, adults disperse back to uplands habitat to retreat underground. Adults may migrate long distances between summering and breeding sites: salamanders have been found along roads more than 1.2 miles from any known breeding ponds. Juvenile salamanders dispersing from ponds have been trapped more than 1,200 feet from their natal ponds.

BREEDING: Following early-winter rains, California tiger salamanders nocturnally emerge from their burrows and lay their eggs in newly formed vernal pools. After the eggs are fertilized internally, a female can lay up to 1,300, which she deposits individually or in small batches. Adults move back to their terrestrial burrows after breeding.

LIFE CYCLE: Within two weeks of egg fertilization, salamander larvae hatch, remaining in their natal pools for two to three months. By late spring or summer, once they reach metamorphosis, juveniles roam up to two miles away to hibernate in terrestrial habitat. Salamanders are thought to have lifespans of 10 years or more.

FEEDING: For the first six weeks of life, juveniles eat small crustaceans, algae, and mosquito larvae. Adult salamanders prey on aquatic insects, invertebrates, and tadpoles of Pacific tree frogs, California red-legged frogs, western toads, and spadefoot toads.

THREATS: The California tiger salamander is threatened by habitat destruction due to urban and agricultural development, habitat fragmentation, pesticides, hybridization with nonnative tiger salamanders, introduced diseases, and predation by nonnative species.

POPULATION TREND: Surveys showed that by 1993, the California tiger salamander had been extirpated from at least half of its historic localities. By 2004, only six tiger salamander meta-populations within 48 breeding ponds remained in Santa Barbara County, and by 2005, only seven viable tiger salamander breeding sites remained in Sonoma County.

Step-by-step explanation:

Answer: 16 inches

Step-by-step explanation:

To solve this question, we will use the Pythagoras theorem which will be:

Diagonal² = Length² + Width²

20² = 12² + width²

400 = 144 + width²

width² = 400 - 144

Width² = 256

Width = ✓256

Width = 16

The width of the tv is 16 inches

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

Answer:

Step-by-step explanation:

11-2.5= 8.5

8.5-2.5=6

your answer is 2.5

Answer:

1 ft³ of gold will weigh 1209.6 pounds

1 ft³ of copper will weigh 559 pounds.

Step-by-step explanation:

We know the formula for:

Density = Mass/Volume

Hence, making mass the subject of the formula:

Mass = Density × Volume

From the question we are told:Volume of each metal = 1 ft³

1) Metal: Gold

Density of Gold = 0.70 pounds per cubic inch(lb/in³)

We convert the Volume of gold from ft³ to in³

The Volume of gold given in the question = 1 cubic foot = 1 ft³

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³

= 1209.6 lb(pounds)

2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

Ib = pounds

We convert this density in g/cm³ to ib/in³

453.5g = 1 Ib

8.96g = a Ib

Cross Multiply

= 453.5g × a Ib =8.96g × 1 Ib

= a Ib = 8.96g × 1 Ib/453.5g

a Ib = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

28,316.8 cm³ = 1 ft³

1 cm³ = b ft³

b ft³ = 1 cm³ × 1 ft³/28,316.8cm³

b ft³ = 0.0000353147 ft³

1 cm³ = 0.0000353147 ft³

We have to convert the density of Copper from Ib/cm³ to Ib/ft³

0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³

559.46793026 Ib/ft³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³

= 559.46793026 Ib or pounds

≈ 559 pounds

Therefore , the weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.

Answer:

Gold

Density of Gold = 0.70 pounds per cubic inch

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³ = 1209.6 lb(pounds)

2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

We convert this density in g/cm³ to ib/in³

453.5g × a Ib =8.96g × 1 Ib = 8.96g × 1 Ib/453.5g = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³ = 559.46793026 Ib or pounds

≈ 559 pounds

The weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.

You can use tangent trigonometric ratio since that deals with perpendicular and base and since the case is related physically to right triangle, thus it would be useful here.

The height of the considered pole is given by Option B:  \(12\sqrt3\)

Height of pole.

Let the height of the pole be x.

In the given figure attached below, we can see that there is a right angled triangle ABC forming.

By using the tangent ratio from angle C, we have:

\(\tan(30^\circ) = \dfrac{\text{AB}}{\text{BC}} = \dfrac{x}{36}\\\dfrac{1}{\sqrt{3}} = \dfrac{x}{36}\\\\x= \dfrac{36}{\sqrt3}\\x = \dfrac{ 12 \times \sqrt3 \times \sqrt 3}{\sqrt3} = 12\sqrt3\)

Thus, the height of the considered pole is given by Option B:  \(12\sqrt3\)

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Answer:B.)

Step-by-step explanation:

Answer:    ∠B = 42°   ∠A = 23°  ∠F = 115°

Step-by-step explanation:

∠B≅∠C  alternate interior angles  42°

  ∠CDF is supplementary to ∠CDE,

so m∠CDF = 23°  and ∠FAB≅∠CDF so m∠FAB= 23°

also ∠A ≅ CDE  corresponding angles  157° ∠FAB is suplementary to ∠A

so 180 - 157 = 23 gives the m∠FAB

The sum of the angles of a triangle is 180°, so m∠AFB = 180 -(23 +42)

180- 65 = 115 = m∠F

Answer:

17/33

Step-by-step explanation:

1/2 is .5

51/1000 is .051

51/100 is just .51

Answer:

17/33

Step-by-step explanation:

everything divided by nine get repeated over and over.

51/99

then simplify

17/33

Answer:

True

Step-by-step explanation:

Answer:

Square C

Step-by-step explanation:

So that means that the side lengths of F are 1 since it's side lengths are 1/2 of square A

According to the scree plot, if we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

The scree plot is a diagnostic tool in factor analysis that aids in determining the number of significant factors to retain. It plots eigenvalues against factor number, with the first factor representing the highest variance in the data set.

The scree plot represents the eigenvalues of the factors. The total variance in the original dataset can be expressed as the sum of the eigenvalues of the factors. If we choose to retain fewer factors, the overall variance preserved will be less, resulting in less precise results.

If we want to keep the most variance possible while maintaining a reasonable level of abstraction, we can look at the scree plot's “elbow.” This represents a point on the scree plot where the eigenvalues decrease dramatically.

Therefore, We should retain all of the factors to the left of the elbow, as they represent the most significant eigenvalues that account for the most variance in the data. If we want to preserve 80% of the variance, the smallest projection dimension d would be 5.

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The domain of the function is given by: 0 ≤ c ≤ 150

The range of the function is given by : 0 ≤ p(c) ≤ 112.5

The range of values that we are permitted to enter into our function is known as the domain of a function.

The given statement states that the profit from selling 150 cups of lemonade is denoted by p(c) such that p(c) = 0.75c

Now the girls can sell a maximum of 150 lemonades.

Hence the domain of the values are : 0 ≤ c ≤ 150

at x=0 , p(c) = 0.75 × 0 = 0

at x= 150 , p(c) = 0.75 × 150 = 112.50

Therefore the range of the function is :  0 ≤ p(c) ≤ 112.5

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Kallie will perform these tasks in the Analysis phase of the Systems Development Life Cycle (SDLC).

In the Systems Development Life Cycle (SDLC), the Analysis phase is where Kallie will create use cases, data flow diagrams, and entity relationship diagrams. This phase is the second phase of the SDLC, following the Planning phase. During the Analysis phase, Kallie will gather detailed requirements and analyze the current system or business processes to identify areas for improvement.

Use cases are used to describe interactions between actors (users or systems) and the system being developed. They outline the specific steps and interactions necessary to achieve a particular goal. By creating use cases, Kallie can better understand the requirements and functionality needed for the system.

Data flow diagrams (DFDs) are graphical representations that illustrate the flow of data within a system. They show how data moves through different processes, stores, and external entities. These diagrams help Kallie visualize the system's data requirements and identify any potential bottlenecks or inefficiencies.

Entity relationship diagrams (ERDs) are used to model the relationships between different entities or objects within a system. They depict the structure of a database and show how entities are related to each other through relationships. ERDs allow Kallie to define the data structure and relationships required for the system.

By creating use cases, data flow diagrams, and entity relationship diagrams during the Analysis phase, Kallie can gain a deeper understanding of the system's requirements, data flow, and structure. These artifacts serve as important documentation for the subsequent phases of the SDLC, guiding the design, development, and implementation processes.

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the total surface area of the cylinder is: 3200π + 4240π = 7440π cm^2. So, the surface area of the cylinder in terms of pi is 7440π cm^2.

To find the surface area of the cylinder, we need to add the area of the two circular bases and the lateral area.

The formula for the area of a circle is A = πr^2, where r is the radius.

The radius of the base is given as 40 cm, so the area of one circular base is:

A = π(40)^2 = 1600π cm^2

Since there are two circular bases, the total area for both bases is:

2(1600π) = 3200π cm^2

The formula for the lateral area of a cylinder is L = 2πrh, where r is the radius and h is the height.

Plugging in the given values, we get:

L = 2π(40)(53) = 4240π cm^2

Therefore, the total surface area of the cylinder is:

3200π + 4240π = 7440π cm^2

So, the surface area of the cylinder in terms of pi is 7440π cm^2.

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Answer:

Combined like terms- 9xy3−13y4+x3y+3x4−8x2y2

Simplified- 3x4+x3y−8x2y2+9xy3−13y4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

lol

Answer: (D)

Step-by-step explanation:

Let 8/9=x/12

9*x=12*8

9x=96

x=10.7

Answer:

56

Step-by-step explanation:

you first had to get the marked price so t you can get the profit.

just as illustrated in the picture above.

Answer:

It should be the far right one

Step-by-step explanation:

c=15+0.20x

Answer:

answer is red (C=15+0.2x)

Step-by-step explanation:

No matter how long your airtime usage is, it will at least cost $15 per month and you have to pay $0.20 per minute/s.

Formula would be (C=15+0.2x)

An example, if she uses 5 minutes of airtime then the equation will be;

C=15+(0.2×5)

C=15+1

C=16

1.02 is the correct answer i hope this helped<3

Answer: The midpoint of the line segment with endpoints (5, 1) and (2, -3) is (3.5, -1).

Step-by-step explanation:

The midpoint formula states that the coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) are:

((x1 + x2) / 2, (y1 + y2) / 2)

In this case, (x1, y1) = (5, 1) and (x2, y2) = (2, -3). Substituting these values into the formula, we get:

((5 + 2) / 2, (1 - 3) / 2) = (3.5, -1)

Therefore, the midpoint of the line segment with endpoints (5, 1) and (2, -3) is (3.5, -1). The correct answer is A. (3.5, -1).

The Wilcoxon signed-rank test is employed to see if there is a substantial difference between two related samples. Here the new cognitive therapy group and placebo group are related samples as they both belong to the same sample of cognitive therapy's study. The Wilcoxon signed-rank test is performed on the rank-based data as the data is not normally distributed. Following is the calculation for Wilcoxon’s signed rank test:The null hypothesis for the Wilcoxon signed-rank test is that there is no difference between the new cognitive therapy and placebo treatments. While the alternative hypothesis is that there is a difference between the two treatments.

The Wilcoxon signed-rank test is performed as follows:
Rank all the data, with the lowest value being ranked 1 and the highest value being ranked 12.
Calculate the difference between the new cognitive therapy and placebo group scores.
Take the absolute values of the differences.
Rank the differences in ascending order and ignore the signs.
Calculate the sum of the ranks of the new cognitive therapy group.
Calculate the test statistic T.
For this dataset, the calculations of the Wilcoxon signed-rank test are as follows:
Data Ranked (New therapy) Difference Absolute Difference Ranked Differences + Rank Therapy Differences - Rank Placebo 5 1 4 3 4 4 6 2 4 4 2 2 4 4 8 7 1 1 1 12 10 2 2 3 5 1 6 13 12 1 8 7 7 4 4 1 5 5 5 1 14 13 1 2 1 15 7 8 7 7 5 9 10 3 5 8 56 12 44 12 12 11 7 Total 49
Calculating T:

\($$T =\) \(\frac{Total\ of\ positive\ ranks - \frac{n(n+1)}{4}}{\sqrt{\frac{n(n+1)(2n+1)}{24}}}$$\)

Here, n is the number of pairs, which is 12.
T = 3.52
Using the Wilcoxon signed-rank test table, the critical value at the 0.05 level for n = 12 is 18.
Since T (3.52) is less than the critical value (18), the null hypothesis cannot be rejected.
There is no evidence to suggest that there is a difference between the new cognitive therapy and placebo treatments.

The gross pay for the given service is $343.2.

Gross pay is what employees earn before taxes, benefits and other payroll deductions are withheld from their wages.

Given that, the regular salary of some service is $7.80 per hour, we need to calculate the gross payment with over time hour, which is 4 hours and regular hour of work is 40 hours.

Therefore,

To find, gross payment, we will multiply by 7.80 by 4 and 40, and add both to get the regular salary,

Gross payment = 7.80 × 4 + 7.80 × 40  

= 7.80(4+40)

= 7.80 × 44

= 343.2

Hence, the gross pay is $343.2

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Answer:

x = -1, 6

Step-by-step explanation:

Equation of function 1 is,

y₁ = x² - 4x

Equation of function 2 is,

y₂ = x - 6

If y₁ = y₂

x² - 4x = x - 6

x² - 4x - x + 6 = 0

x² - 5x + 6 = 0

x² - 6x + x + 6 = 0

x(x - 6) + 1(x + 6) = 0

(x + 1)( x - 6) = 0

x = -1, 6

Answer:

x = 2 and x = 3

Step-by-step explanation:

y1 = 2^2 - 4(2)

2 x 2 - 8= -4

y2 = 2 - 6 = -4

y1 = 3^2 - 4(3)

9 - 12 = -3

y2 = 3 - 6 = -3